Exact solutions to a coupled modified KdV equations with non-uniformity terms

被引：1

作者：

Zhang, Yi ^{[1
]}

Yao, Cai-zhen ^{[1
]}

Cai, Xiao-na ^{[1
]}

Xu, Hong-xian ^{[1
]}

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China

来源：

PHYSICS LETTERS A | 2009年 / 373卷 / 42期

基金：

中国国家自然科学基金;

关键词：

Soliton solutions; Hirota bilinear form; Pfaffian; Coupled mKdV equations with non-uniformity; SOLITON-SOLUTIONS; KORTEWEG-DEVRIES; BACKLUND TRANSFORMATION; EVOLUTION-EQUATIONS; HOMOCLINIC ORBITS; BKP EQUATIONS; REPRESENTATION; HIERARCHIES; SYSTEMS;

D O I：

10.1016/j.physleta.2009.08.038

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The bilinear form of a coupled modified KdV equations with non-uniformity terms is given and a few soliton solutions are obtained. Furthermore, the multisoliton of the coupled system is expressed by Pfaffian. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：3861 / 3866

页数：6

共 50 条

[1] Exact solutions for coupled KdV equation and KdV equations
Inan, Ibrahim E.
PHYSICS LETTERS A, 2007, 371 (1-2) : 90 - 95
[2] Exact solutions of Bogoyavlenskii coupled KdV equations
Hu, HC
Lou, SY
COMMUNICATIONS IN THEORETICAL PHYSICS, 2004, 42 (04) : 485 - 487
[3] Exact Solutions of Bogoyavlenskii Coupled KdV Equations
HU Heng-Chun~1 LOU Sen-Yue~(1
CommunicationsinTheoreticalPhysics, 2004, 42 (10) : 485 - 487
[4] New exact travelling wave solutions to the complex coupled KdV equations and modified KdV equation
Zhang, Huiqun
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2008, 13 (09) : 1776 - 1781
[5] Exact solutions for a new coupled MKdV equations and a coupled KdV equations
Cao, DB
Yan, JR
Zhang, Y
PHYSICS LETTERS A, 2002, 297 (1-2) : 68 - 74
[6] New exact solutions to a system of coupled KdV equations
Fan, EG
Zhang, HQ
PHYSICS LETTERS A, 1998, 245 (05) : 389 - 392
[7] EXACT-SOLUTIONS FOR THE BOGOYAVLENSKII COUPLED KDV EQUATIONS
TIAN, B
GAO, YT
PHYSICS LETTERS A, 1995, 208 (03) : 193 - 196
[8] ''Molecule solutions'' of coupled modified KdV equations
Hirota, R
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1997, 66 (09) : 2530 - 2532
[9] Soliton solutions of a coupled modified KdV equations
Iwao, M
Hirota, R
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1997, 66 (03) : 577 - 588
[10] On soliton and other exact solutions of the combined KdV and modified and generalized KdV equations
Bokhari, AH
Kara, AH
Zaman, FD
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-BASIC TOPICS IN PHYSICS, 2005, 120 (04): : 393 - 396

← 1 2 3 4 5 →